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Finding the Fourth Proportional to 277,205.60, 415,808.40 and 164,939.60

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Solution

The fourth proportional to 277,205.60, 415,808.40 and 164,939.60 is: 247,409.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,205.60 : 415,808.40 = 164,939.60 : x
  2. Step 2: Convert to fraction form
    277,205.60/415,808.40 = 164,939.60/x
  3. Step 3: Cross multiply
    277,205.60x = 415,808.40 × 164,939.60
  4. Step 4: Simplify right side
    277,205.60x = 68,583,271,172.64
  5. Step 5: Solve for x
    x = 68,583,271,172.64/277,205.60
  6. Step 6: Final answer
    x = 247,409.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.